EC457 Fourier and Wavelet Signal Processing

Course Name: 

EC457 Fourier and Wavelet Signal Processing

Programme: 

B.Tech (ECE)

Category: 

Programme Specific Electives (PSE)

Credits (L-T-P): 

(3-1-0) 4

Content: 

Hilbert Spaces, Review of sequences and discrete time systems, functions, DTFT, convergence, multi rate systems, polyphase representation, stochastic processes and systems. Continuous time systems, Fourier transform, definition, existence, spectral decay, Fourier series. Sampling and Interpolation – finite dimensional vectors, sequences, functions, periodic functions, approximation and compression – polynomial and spline approximation. Localization and uncertainity. Filter banks – Localization, two channel orthogonal filter banks, design, biorthogonal filter banks, design. Local fourier bases – N channel filter banks, exponentially modulation filter banks, cosine modulated filter banks. Wavelet bases on sequences, Tree structured filter banks, orthogonal, bi-orthogonal bases, wavelet packets, frames. Wavelet bases on functions – local fourier transforms.

References: 

Martin Vetterli Jelena Kovacevic & Vivek K. Goyal, Foundations of Signal Processing, Cambridge University Press 2015
J. Kovacevic, V. K. Goyal and Martin Vetterli, Fourier and Wavelet Signal Processing, Cambridge University Press 2013
 

Contact us

Dr. U. Shripathi Acharya,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

  • Hot line: +91-0824-2473046

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